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Abstract and Applied Analysis
Volume 2013, Article ID 607934, 14 pages
Research Article

Fuzzy -Continuous Posets

1College of Mathematics and Econometrics, Hunan University, Changsha 410082, China
2Faculty of Sciences, Nanchang Institute of Technology, Nanchang 330099, China

Received 27 April 2013; Revised 7 July 2013; Accepted 8 July 2013

Academic Editor: Stefan Siegmund

Copyright © 2013 S. P. Rao and Q. G. Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The aim of this paper is to generalize fuzzy continuous posets. The concept of fuzzy subset system on fuzzy posets is introduced; some elementary definitions such as fuzzy -continuous posets and fuzzy -algebraic posets are given. Furthermore, we try to find some natural classes of fuzzy -continuous maps under which the images of such fuzzy algebraic structures can be preserved; we also think about fuzzy -continuous closure operators in alternative ways. An extension theorem is presented for extending a fuzzy monotone map defined on the -compact elements to a fuzzy -continuous map defined on the whole set.